Theorem com45 11318

Description: Commutation of antecedents. Swap 4th and 5th.

Hypothesis

Ref	Expression
com5.1	⊢ (φ → (ψ → (χ → (θ → (τ → η)))))

Assertion

Ref	Expression
com45	⊢ (φ → (ψ → (χ → (τ → (θ → η)))))

Proof of Theorem com45

Step	Hyp	Ref	Expression
1		com5.1	. 2 ⊢ (φ → (ψ → (χ → (θ → (τ → η)))))
2		pm2.04 30	. 2 ⊢ ((θ → (τ → η)) → (τ → (θ → η)))
3	1, 2	syl8 24	1 ⊢ (φ → (ψ → (χ → (τ → (θ → η)))))

Syntax hints:   → wi 3

This theorem is referenced by:  com35 11319  com25 11320  com15 11321  com5l 11322  flimfnfcls 11720  fcluscnplem 11722

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-mp 7

Copyright terms: Public domain